Short effective intervals containing primes in arithmetic progressions and the seven cubes problem

DOI10.1090/S0025-5718-08-02084-XzbMath1208.11111arXiv2012.01413OpenAlexW3108460273MaRDI QIDQ3577022

Habiba Kadiri

Publication date: 3 August 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.01413

zbMATH Keywords

primes in arithmetic progressionsDirichlet \(L\)-functionssums of seven cubes

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Primes in congruence classes (11N13)

Related Items (6)

Improved explicit bounds for some functions of prime numbers ⋮ Computers as a novel mathematical reality. II: Waring's problem ⋮ Explicit short intervals for primes in arithmetic progressions on GRH ⋮ Gaps between prime numbers and tensor rank of multiplication in finite fields ⋮ Problème de Lehmer sur les courbes elliptiques à multiplications complexes ⋮ Every odd number greater than $1$ is the sum of at most five primes

Cites Work

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• Short effective intervals containing primes
• Approximate formulas for some functions of prime numbers
• Distribution of zeros of Dirichlet L-functions and an explicit formula for ψ(t, χ)
• Explicit Estimates for the Error Term in the Prime Number Theorem for Arithmetic Progressions
• Greatest of the Least Primes in Arithmetic Progressions Having a Given Modulus
• Zero-Free Regions for Dirichlet L-Functions, and the Least Prime in an Arithmetic Progression
• Primes in arithmetic progressions
• Une région explicite sans zéros pour la fonction ζ de Riemann
• An explicit seven cube theorem
• Explicit Bounds for Some Functions of Prime Numbers
• A Proof of the Seven Cube Theorem
• An effective seven cube theorem

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